Finding the Third Proportional to 47,524 and 100,412

Step by Step Solution

1. Step 1: Write the proportion equation
   47,524 : 100,412 = 100,412 : x
2. Step 2: Convert to fraction form
   47,524/100,412 = 100,412/x
3. Step 3: Cross multiply
   47,524x = 100,412 × 100,412
4. Step 4: Simplify right side
   47,524x = 10,082,569,744
5. Step 5: Solve for x
   x = 10,082,569,744/47,524
6. Step 6: Final answer
   x = 212,157.43